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Finding the Third Proportional to 11,755,068 and 17,287,074.75

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Solution

The third proportional to 11,755,068 and 17,287,074.75 is: 25,422,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755,068 : 17,287,074.75 = 17,287,074.75 : x
  2. Step 2: Convert to fraction form
    11,755,068/17,287,074.75 = 17,287,074.75/x
  3. Step 3: Cross multiply
    11,755,068x = 17,287,074.75 × 17,287,074.75
  4. Step 4: Simplify right side
    11,755,068x = 298,842,953,412,087.56
  5. Step 5: Solve for x
    x = 298,842,953,412,087.56/11,755,068
  6. Step 6: Final answer
    x = 25,422,477.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.